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arXiv · 1511.00059

Generality of the concatenated five-qubit code

Long Huang·Bo You·Xiaohua Wu·Tao Zhou
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Abstract

In this work, a quantum error correction (QEC) procedure with the concatenated five-qubit code is used to construct a near-perfect effective qubit channel (with a error below $10^{-5}$) from arbitrary noise channels. The exact performance of the QEC is characterized by a Choi matrix, which can be obtained via a simple and explicit protocol. In a noise model with five free parameters, our numerical results indicate that the concatenated five-qubit code is general: To construct a near-perfect effective channel from the noise channels, the necessary size of the concatenated five-qubit code depends only on the entanglement fidelity of the initial noise channels.

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Long Huang, Bo You, Xiaohua Wu, Tao Zhou. 2015-10-31. Generality of the concatenated five-qubit code. https://doi.org/10.1103/physreva.92.052320

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